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» Fuzzy Measures and Choquet Integral on Discrete Spaces
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FUZZY
2004
Springer
126views Fuzzy Logic» more  FUZZY 2004»
13 years 10 months ago
Fuzzy Measures and Choquet Integral on Discrete Spaces
Abstract. This paper studies some relationships between fuzzy relations, fuzzy graphs and fuzzy measure. It is shown that a fundamental theorem of Discrete Convex Analysis is deriv...
Yasuo Narukawa, Vicenç Torra
EOR
2002
101views more  EOR 2002»
13 years 4 months ago
Entropy of discrete Choquet capacities
We introduce a measure of entropy for any discrete Choquet capacity and we interpret it in the setting of aggregation by the Choquet integral. Keywords : entropy, discrete Choquet...
Jean-Luc Marichal
EUSFLAT
2007
107views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 months ago
Extending the Choquet integral
In decision under uncertainty, the Choquet integral yields the expectation of a random variable with respect to a fuzzy measure (or non-additive probability or capacity). In gener...
Giovanni Rossi
FUZZIEEE
2007
IEEE
13 years 11 months ago
Nonlinear Classification by Genetic Algorithm with Signed Fuzzy Measure
—In this paper, we propose a new nonlinear classier based on a generalized Choquet integral with signed fuzzy measures to enhance the classification power by capturing all possib...
Honggang Wang, Hua Fang, Hamid Sharif, Zhenyuan Wa...
EUSFLAT
2003
117views Fuzzy Logic» more  EUSFLAT 2003»
13 years 6 months ago
On a modeling of decision making with a twofold integral
A Sugeno and a Choquet integrals are commonly used fuzzy integrals for aggregation. As a generalization of both integrals, the twofold integral is induced. The twofold integral en...
Hideyuki Imai, Vicenç Torra